Flow Through A Rectangular Slot
- Flow Rate Calculator. Easily calculate the volumetric flow rate of a pipe (a.k.a. Discharge rate) given its diameter (for a round pipe, height & width for a rectangular one) and the velocity of the liquid or gas flowing through it. The flow rate calculator can also calculate the mass flow rate of liquids given the liquid density is known.
- The block models a variable orifice created by a cylindrical sharp-edged spool and a rectangular slot in a sleeve. The flow rate through the orifice is proportional to the orifice opening and to the pressure differential across the orifice. The flow rate is determined according to the following equations.
Orifice Discharge into Free Air
Bourgoyne, et al. 15 for a channel of rectangular slot-cross section. The height of the rectangular slot section is taken as the same of the bow-shape cross section h. The width of the rectangular slot section w is taken as the width value of the bow-shape section at height h, according to Equation (7): 2 2 2 a w bh h b = −(7). The mechanics of flow through a single orifice located in the side of open channels have been studied by many researchers. Detailed study on side rectangular orifice or slot has been carried out by Gill, Ramamurthy et al., Ojha and Subbaiah and Hussain et al.
An orifice is an opening with a closed perimeter through which water flows. Orifices may have any shape, although they are usually round, square, or rectangular.
Discharge through a sharp-edged orifice may be calculated from:
Q = Ca?2gh
Flow Through A Rectangular Slotted
where
Q= discharge, ft3/s (m3/s)
C =coefficient of discharge
a =area of orifice, ft2 (m2)
g =acceleration due to gravity, ft/s2 (m/s2)
h =head on horizontal center line of orifice, ft (m)
The coefficient of discharge C is the product of the coef- ficient of velocity Cv and the coefficient of contraction Cc. The coefficient of velocity is the ratio obtained by dividing the actual velocity at the vena contracta (contraction of the jet discharged) by the theoretical velocity. The theoretical velocity may be calculated by writing Bernoulli’s equation for points 1 and 2.Thus
V2= ?2gh
The coefficient of contraction Cc is the ratio of the smallest area of the jet, the vena contracta, to the area of the orifice.
Submerged Orifices
Flow through a submerged orifice may be computed by applying Bernoulli’s equation to points 1 and 2 in figure below
Flow Through A Rectangular Sloth
Values of C for submerged orifices do not differ greatly from those for nonsubmerged orifices.